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# Collatz Conjecture

Problem Description

Given two integers A and B, where A is the first element of the sequence then find Bth element of the sequence.
If the kth element of the sequence is X then k+1th element calculated as:
• if X is even then next element is X/2.
• else next element is 3×X + 1.

Problem Constraints
1 <= A <= 109
1 <= B <= 105

Input Format
Given two integers A and B.

Output Format
Return an integer.

Example Input
Input 1:
```A = 1
B = 3
```

Input 2:

```A = 5
B = 6
```

Example Output
Output 1:
```2
```

Output 2:

```1
```

Example Explanation
Explanation 1:
` The sequence is as follows 1 -> 4 -> 2`

Explanation 2:

`The sequence is as follows 5 -> 16 -> 8 -> 4 -> 2 -> 1`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
• Hint 1
• Solution Approach
• Complete Solution

## Discussion

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